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Finding the Third Proportional to 160,156.50 and 245,664

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Solution

The third proportional to 160,156.50 and 245,664 is: 376,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,156.50 : 245,664 = 245,664 : x
  2. Step 2: Convert to fraction form
    160,156.50/245,664 = 245,664/x
  3. Step 3: Cross multiply
    160,156.50x = 245,664 × 245,664
  4. Step 4: Simplify right side
    160,156.50x = 60,350,800,896
  5. Step 5: Solve for x
    x = 60,350,800,896/160,156.50
  6. Step 6: Final answer
    x = 376,823.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.